393252379070464 has 39 divisors (see below), whose sum is σ = 786411287273433. Its totient is φ = 196625554956288.

The previous prime is 393252379070407. The next prime is 393252379070477. The reversal of 393252379070464 is 464070973252393.

The square root of 393252379070464 is 19830592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8786244505600 + 384466134564864 = 2964160^2 + 19607808^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 393252379070396 and 393252379070405.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1269002962 + ... + 1269312814.

Almost surely, 2^{393252379070464} is an apocalyptic number.

393252379070464 is the 19830592-nd square number.

It is an amenable number.

393252379070464 is a deficient number, since it is larger than the sum of its proper divisors (393158908202969).

393252379070464 is an frugal number, since it uses more digits than its factorization.

393252379070464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619730 (or 309855 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 64.

393252379070464 divided by its sum of digits (64) gives a square (6144568422976 = 2478824²).

The spelling of 393252379070464 in words is "three hundred ninety-three trillion, two hundred fifty-two billion, three hundred seventy-nine million, seventy thousand, four hundred sixty-four".